In a diagram, <A and <B are vertical angles and <B is a complementary angle with <C if m<A= 22°

Write a equation that you can use to so solve for m<C

1 answer

Since angles A and B are vertical angles, they have the same measure. Therefore, m<A = m<B.

Also, angle B is a complementary angle with angle C, which means their measures add up to 90 degrees. Therefore, m<B + m<C = 90°.

Since m<A = 22° and m<A = m<B, we can substitute m<B with 22° in the equation:

22° + m<C = 90°

This is the equation that can be used to solve for m<C.